Question

Simplify. Assume x and y are nonnegative

Answer 1

`7\sqrt{50x^(15)y^(21)}=7\sqrt{25\cdot2x^(14+1)y^(20+1)}=7√(25)\cdot\sqrt{x^(14)}\cdot\sqrt{y^(20)}\cdot√(2xy)\\\\=7(5)√((x^7)^2)\cdot\sqrt{(y^(10))^2}\cdot√(2xy)=35x^7y^(10)√(2xy)\\\\Used:\\\\√(ab)=√(a)\cdot√(b)\\\\√(a^2)=a\\\\a^n\cdot a^m=a^(nm)\\\\(a^n)^m=a^(nm)`